From Jack to Double Jack Polynomials via the Supersymmetric Bridge

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2015
• Main Authors: Lapointe, L., Mathieu, P.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2015
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/147121
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: From Jack to Double Jack Polynomials via the Supersymmetric Bridge / L. Lapointe, P. Mathieu // Symmetry, Integrability and Geometry: Methods and Applications. — 2015. — Т. 11. — Бібліогр.: 46 назв. — англ.

The Calogero-Sutherland model occurs in a large number of physical contexts, either directly or via its eigenfunctions, the Jack polynomials. The supersymmetric counterpart of this model, although much less ubiquitous, has an equally rich structure. In particular, its eigenfunctions, the Jack superp...